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Heterogeneous-IRS-Assisted Millimeter-Wave Systems: Element Position and Phase Shift Optimization. [PDF]
Sensors (Basel)Zhao W, Wu Q, Wei H, Su D, Zhu Y.
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Caputo–Hadamard fractional Halanay inequality
Applied Mathematics Letters, 2022In this paper, the authors studies the Caputo-Hadamard fractional Halanay inequality. A useful fractional derivative inequality regarding on \(x^ 2\) in the Caputo-Hadamard sense is derived and proved. The results obtained make the Halanay inequality more applicable to choose the Lyapunov function and to study the stability of fractional system.
Bin-Bin He, Hua-Cheng Zhou
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Hermite–Hadamard inequality for fuzzy integrals
Applied Mathematics and Computation, 20091 ...
J Caballero, Kishin Sadarangani
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Inequalities for the Hadamard Product of Matrices
SIAM Journal on Matrix Analysis and Applications, 1998Some known inequalities for the Hadamard product of matrices are extended and new inequalities obtained.
Bert Mond, Josip E. Pecaric
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On weighted Hermite–Hadamard inequalities
Applied Mathematics and Computation, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhen-Gang Xiao +2 more
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Inverse Forms of Hadamard Inequality
SIAM Journal on Matrix Analysis and Applications, 2002Summary: We establish the inverse inequalities of the Hadamard inequality and the Szasz inequality. To prove these results, we give two sharpenings of the Hadamard inequality and the Szasz inequality.
Gangsong Leng, Guobiao Zhou
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Studia Scientiarum Mathematicarum Hungarica, 2008
Let a and b be real numbers with a < b , Let υ : [ a, b ] → ℝ be continuous and convex. An n-dimensional extension of the inequality \documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage ...
Pal Fischer, Zbigniew Slodkowski
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Let a and b be real numbers with a < b , Let υ : [ a, b ] → ℝ be continuous and convex. An n-dimensional extension of the inequality \documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage ...
Pal Fischer, Zbigniew Slodkowski
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A complement of the Hadamard-Fischer inequality
Journal of Intelligent & Fuzzy Systems, 2018In this paper, we first give a new proof and a complement of the Hadamard-Fischer inequality, then present some results related to positive definite 3 × 3 block matrix and matrices whose numerical ranges are contained in a sector.
Sheng Dong, Lei Hou 0005
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Hadamard and Fejer-type inequalities
Archiv der Mathematik, 2000Let \(f: [a,b]\to \mathbb{R}\), \(g: I\to\mathbb{R}\) be a bijective, continuous mapping defined on an interval \(I\), containing \(\text{range}(f)\). Then \(f\) is named \(g\)-convex if \[ f(ux+ (1- u)y)\leq g^{-1}[u(g\circ f)(x)+ (1- u)(g\circ f)(y)] \] holds true for all \(x,y\in[a, b]\); \(u\in [0,1]\).
Saidi, Fathi, Younis, Rahman
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On Gram’s and Hadamard’s Determinant Inequalities
The Mathematical Gazette, 1963Suppose E is a vector space over the field of complex numbers with a complex valued scalar product ( , ), with the properties and ( x, x ) ≠ 0 when x ≠ 0, defined over it.
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